Details

analyze54.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
50.8%	50%	48.4%	0.1%	1.6%	0%	0%	7
60.8%	59.3%	38.2%	0.1%	2.3%	0%	0%	8
70.8%	67.1%	27.7%	0.1%	5.1%	0%	0%	9
77.3%	72.6%	21.3%	0.1%	6%	0%	0%	10
83.9%	76.9%	14.7%	0.1%	8.3%	0%	0%	11
87.7%	79.8%	11.2%	0.1%	8.9%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample687.0ms (11.5%)

Results

647.0ms	8256×	body	256	valid
26.0ms	357×	body	256	infinite

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

6×	`rational.json-simplify-1`
4×	`rational.json-simplify-48`
2×	`swap-x-y`
2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	15	38
2	17	38
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 y x) (*.f64 y x))

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 y x) (*.f64 y x))
(-.f64 (+.f64 x y) (*.f64 x y))

Symmetry

(sort x y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`rational.json-simplify-1`
4×	`rational.json-simplify-48`
2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	11	19
2	14	19
3	15	19

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 y (-.f64 x (*.f64 x y)))

eval0.0ms (0%)

Compiler: Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(-.f64 (+.f64 x y) (*.f64 x y))
0.0ms	x	@	inf	(-.f64 (+.f64 x y) (*.f64 x y))
0.0ms	x	@	-inf	(-.f64 (+.f64 x y) (*.f64 x y))
0.0ms	y	@	inf	(-.f64 (+.f64 x y) (*.f64 x y))
0.0ms	x	@	0	(-.f64 (+.f64 x y) (*.f64 x y))

rewrite100.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`rational.json-1`
1504×	`rational.json-2`
1504×	`rational.json-3`
1496×	`exponential.json-3`
1496×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	48	19
2	117	19
3	277	19
4	611	19
5	1584	19
6	3818	19
7	6164	19

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 y (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (-.f64 x (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 y (.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (-.f64 y (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 x (-.f64 y (.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (neg.f64 y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x (-.f64 y (+.f64 (.f64 x y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 y (+.f64 (.f64 x y) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 1/2) (.f64 (+.f64 x (-.f64 y (.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 2 (-.f64 (.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 y 1/2) (.f64 x (/.f64 (-.f64 1 y) 2))) (+.f64 (.f64 y 1/2) (.f64 x (/.f64 (-.f64 1 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x 1/2) (.f64 (-.f64 1 x) (.f64 y 1/2))) (+.f64 (.f64 x 1/2) (.f64 (-.f64 1 x) (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (-.f64 y (.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (-.f64 y (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 y 1/2) (.f64 x (/.f64 (-.f64 1 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 x 1/2) (.f64 (-.f64 1 x) (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (+.f64 (.f64 y 1/2) (.f64 x 1/2)) (.f64 x (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (+.f64 (.f64 x 1/2) (.f64 y 1/2)) (.f64 x (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x y) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (.f64 (+.f64 x y) 1/4) (.f64 x (.f64 y 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 (.f64 x y) (+.f64 x y))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 x (.f64 2 (-.f64 1 y))) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (+.f64 (+.f64 y y) (+.f64 x x)) (.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (+.f64 (+.f64 x x) (+.f64 y y)) (.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (+.f64 x (-.f64 y (.f64 x y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (-.f64 (.f64 (+.f64 x y) 4) (.f64 x (.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 y (.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x y) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 x y) (+.f64 x y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 x y) (+.f64 x y)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (.f64 x y) (+.f64 x y)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (-.f64 (.f64 x y) (+.f64 x y)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (.f64 x y) (+.f64 x y)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 y (.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 x y) (+.f64 x y)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (-.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 y (*.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (-.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 x (-.f64 y (*.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x (-.f64 y (+.f64 (*.f64 x y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 y (+.f64 (*.f64 x y) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/2) (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 2 (-.f64 (*.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y 1/2) (*.f64 x (/.f64 (-.f64 1 y) 2))) (+.f64 (*.f64 y 1/2) (*.f64 x (/.f64 (-.f64 1 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 1/2) (*.f64 (-.f64 1 x) (*.f64 y 1/2))) (+.f64 (*.f64 x 1/2) (*.f64 (-.f64 1 x) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 y 1/2) (*.f64 x (/.f64 (-.f64 1 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/2) (*.f64 (-.f64 1 x) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (+.f64 (*.f64 y 1/2) (*.f64 x 1/2)) (*.f64 x (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (+.f64 (*.f64 x 1/2) (*.f64 y 1/2)) (*.f64 x (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x y) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (+.f64 x y) 1/4) (*.f64 x (*.f64 y 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 x y) (+.f64 x y))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 x (*.f64 2 (-.f64 1 y))) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (+.f64 (+.f64 y y) (+.f64 x x)) (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (+.f64 (+.f64 x x) (+.f64 y y)) (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (+.f64 x (-.f64 y (*.f64 x y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 (+.f64 x y) 4) (*.f64 x (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x y) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 x y) (+.f64 x y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x y) (+.f64 x y)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x y) (+.f64 x y)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x y) (+.f64 x y)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (-.f64 y (*.f64 x y))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (*.f64 x y) (+.f64 x y)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 x y) (+.f64 x y)))))))

simplify312.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

2128×	`rational.json-simplify-1`
1652×	`rational.json-simplify-35`
1118×	`rational.json-simplify-2`
914×	`rational.json-simplify-41`
672×	`rational.json-simplify-42`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	145	1572
1	326	1572
2	735	1548
3	1827	1536
4	4054	1536
5	5260	1530
6	6673	1530
7	7462	1530
8	7872	1530
9	7890	1530

Stop Event

1×	node limit

Counts

78 → 85

Calls

Call 1

Inputs
y
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(*.f64 (-.f64 1 y) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
x
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(.f64 y (+.f64 1 (.f64 -1 x)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 x (-.f64 y (*.f64 x y)))
(+.f64 y (-.f64 x (*.f64 x y)))
(+.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))
(+.f64 (+.f64 x (-.f64 y (*.f64 x y))) 0)
(+.f64 0 (+.f64 x (-.f64 y (*.f64 x y))))
(+.f64 1 (+.f64 (+.f64 x (-.f64 y (*.f64 x y))) -1))
(+.f64 (-.f64 x (*.f64 x y)) y)
(+.f64 (-.f64 y (*.f64 x y)) x)
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 x y))
(+.f64 -1 (+.f64 x (-.f64 y (+.f64 (*.f64 x y) -1))))
(+.f64 (+.f64 x (-.f64 y (+.f64 (*.f64 x y) -1))) -1)
(+.f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 1/2) (.f64 (+.f64 x (-.f64 y (.f64 x y))) 1/2))
(+.f64 -2 (-.f64 2 (-.f64 (*.f64 x y) (+.f64 x y))))
(+.f64 (+.f64 (.f64 y 1/2) (.f64 x (/.f64 (-.f64 1 y) 2))) (+.f64 (.f64 y 1/2) (.f64 x (/.f64 (-.f64 1 y) 2))))
(+.f64 (+.f64 (.f64 x 1/2) (.f64 (-.f64 1 x) (.f64 y 1/2))) (+.f64 (.f64 x 1/2) (.f64 (-.f64 1 x) (.f64 y 1/2))))
(.f64 (+.f64 x (-.f64 y (.f64 x y))) 1)
(.f64 1 (+.f64 x (-.f64 y (.f64 x y))))
(.f64 2 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/2))
(.f64 2 (+.f64 (.f64 y 1/2) (*.f64 x (/.f64 (-.f64 1 y) 2))))
(.f64 2 (+.f64 (.f64 x 1/2) (.f64 (-.f64 1 x) (.f64 y 1/2))))
(.f64 2 (-.f64 (+.f64 (.f64 y 1/2) (.f64 x 1/2)) (.f64 x (*.f64 y 1/2))))
(.f64 2 (-.f64 (+.f64 (.f64 x 1/2) (.f64 y 1/2)) (.f64 x (*.f64 y 1/2))))
(.f64 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 2) 1/2)
(.f64 (-.f64 (.f64 x y) (+.f64 x y)) -1)
(.f64 4 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/4))
(.f64 4 (-.f64 (.f64 (+.f64 x y) 1/4) (.f64 x (.f64 y 1/4))))
(.f64 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 4) 1/4)
(.f64 -1 (-.f64 (.f64 x y) (+.f64 x y)))
(.f64 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 8) 1/8)
(.f64 (.f64 2 (-.f64 (*.f64 x y) (+.f64 x y))) -1/2)
(.f64 1/2 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 2))
(.f64 1/2 (+.f64 (.f64 x (*.f64 2 (-.f64 1 y))) (+.f64 y y)))
(.f64 1/2 (-.f64 (+.f64 (+.f64 y y) (+.f64 x x)) (.f64 x (+.f64 y y))))
(.f64 1/2 (-.f64 (+.f64 (+.f64 x x) (+.f64 y y)) (.f64 x (+.f64 y y))))
(.f64 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/2) 2)
(.f64 -2 (/.f64 (+.f64 x (-.f64 y (.f64 x y))) -2))
(.f64 1/4 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 4))
(.f64 1/4 (-.f64 (.f64 (+.f64 x y) 4) (.f64 x (.f64 y 4))))
(.f64 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/4) 4)
(/.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1)
(/.f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 2) 2)
(/.f64 (-.f64 (*.f64 x y) (+.f64 x y)) -1)
(/.f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 4) 4)
(/.f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 8) 8)
(/.f64 (.f64 2 (-.f64 (.f64 x y) (+.f64 x y))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 8)) 16)
(/.f64 (.f64 (-.f64 (.f64 x y) (+.f64 x y)) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 x y) (+.f64 x y)) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 8))) 32)
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x y) (+.f64 x y)) 4)) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 8)))) 64)
(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (*.f64 x y) (+.f64 x y)) 4))) 8)
(pow.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1)
(neg.f64 (-.f64 (*.f64 x y) (+.f64 x y)))

Outputs
y
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(*.f64 (-.f64 1 y) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
x
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(.f64 y (+.f64 1 (.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 x (*.f64 y (-.f64 1 x)))
(+.f64 x (-.f64 y (*.f64 x y)))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 y (-.f64 x (*.f64 x y)))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 (+.f64 x (-.f64 y (*.f64 x y))) 0)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 0 (+.f64 x (-.f64 y (*.f64 x y))))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 1 (+.f64 (+.f64 x (-.f64 y (*.f64 x y))) -1))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 (-.f64 x (*.f64 x y)) y)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 (-.f64 y (*.f64 x y)) x)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 x y))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 -1 (+.f64 x (-.f64 y (+.f64 (*.f64 x y) -1))))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 (+.f64 x (-.f64 y (+.f64 (*.f64 x y) -1))) -1)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 1/2) (.f64 (+.f64 x (-.f64 y (.f64 x y))) 1/2))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 -2 (-.f64 2 (-.f64 (*.f64 x y) (+.f64 x y))))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 (+.f64 (.f64 y 1/2) (.f64 x (/.f64 (-.f64 1 y) 2))) (+.f64 (.f64 y 1/2) (.f64 x (/.f64 (-.f64 1 y) 2))))
(+.f64 (.f64 y 1/2) (+.f64 (.f64 x (/.f64 (-.f64 1 y) 2)) (+.f64 (.f64 y 1/2) (.f64 x (/.f64 (-.f64 1 y) 2)))))
(+.f64 (.f64 y 1/2) (+.f64 (.f64 y 1/2) (+.f64 (.f64 x (/.f64 (-.f64 1 y) 2)) (.f64 x (/.f64 (-.f64 1 y) 2)))))
(+.f64 (.f64 y 1/2) (+.f64 (.f64 y 1/2) (*.f64 (/.f64 (-.f64 1 y) 2) (+.f64 x x))))
(+.f64 (.f64 (/.f64 (-.f64 1 y) 2) (+.f64 x x)) (.f64 y 1))
(+.f64 (*.f64 (/.f64 (-.f64 1 y) 2) (+.f64 x x)) y)
(+.f64 (.f64 2 (.f64 x (/.f64 (-.f64 1 y) 2))) y)
(+.f64 y (.f64 2 (.f64 x (/.f64 (-.f64 1 y) 2))))
(+.f64 (+.f64 (.f64 x 1/2) (.f64 (-.f64 1 x) (.f64 y 1/2))) (+.f64 (.f64 x 1/2) (.f64 (-.f64 1 x) (.f64 y 1/2))))
(+.f64 x (*.f64 y (-.f64 1 x)))
(.f64 (+.f64 x (-.f64 y (.f64 x y))) 1)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 1 (+.f64 x (-.f64 y (.f64 x y))))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 2 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/2))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 2 (+.f64 (.f64 y 1/2) (*.f64 x (/.f64 (-.f64 1 y) 2))))
(.f64 2 (+.f64 (.f64 x 1/2) (.f64 (-.f64 1 x) (.f64 y 1/2))))
(.f64 2 (+.f64 (.f64 x 1/2) (.f64 y (.f64 (-.f64 1 x) 1/2))))
(.f64 2 (.f64 1/2 (+.f64 x (*.f64 y (-.f64 1 x)))))
(.f64 2 (.f64 (+.f64 x (*.f64 y (-.f64 1 x))) 1/2))
(.f64 2 (-.f64 (+.f64 (.f64 y 1/2) (.f64 x 1/2)) (.f64 x (*.f64 y 1/2))))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 2 (-.f64 (+.f64 (.f64 x 1/2) (.f64 y 1/2)) (.f64 x (*.f64 y 1/2))))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 2) 1/2)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 (-.f64 (.f64 x y) (+.f64 x y)) -1)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 4 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/4))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 4 (-.f64 (.f64 (+.f64 x y) 1/4) (.f64 x (.f64 y 1/4))))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 4) 1/4)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 -1 (-.f64 (.f64 x y) (+.f64 x y)))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 8) 1/8)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 (.f64 2 (-.f64 (*.f64 x y) (+.f64 x y))) -1/2)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 1/2 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 2))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 1/2 (+.f64 (.f64 x (*.f64 2 (-.f64 1 y))) (+.f64 y y)))
(.f64 1/2 (+.f64 (.f64 2 (*.f64 (-.f64 1 y) x)) (+.f64 y y)))
(.f64 1/2 (+.f64 y (+.f64 y (.f64 (-.f64 1 y) (*.f64 2 x)))))
(.f64 1/2 (+.f64 y (+.f64 y (.f64 (-.f64 1 y) (*.f64 x 2)))))
(.f64 1/2 (+.f64 y (+.f64 y (.f64 (*.f64 (-.f64 1 y) x) 2))))
(.f64 1/2 (-.f64 (+.f64 (+.f64 y y) (+.f64 x x)) (.f64 x (+.f64 y y))))
(.f64 1/2 (+.f64 (+.f64 x x) (-.f64 (+.f64 y y) (.f64 x (+.f64 y y)))))
(.f64 1/2 (+.f64 y (+.f64 (+.f64 x x) (-.f64 y (.f64 x (+.f64 y y))))))
(.f64 1/2 (+.f64 y (-.f64 (+.f64 x (+.f64 y x)) (.f64 x (+.f64 y y)))))
(.f64 1/2 (+.f64 y (-.f64 (+.f64 x (+.f64 y x)) (.f64 y (+.f64 x x)))))
(.f64 1/2 (-.f64 (+.f64 (+.f64 x x) (+.f64 y y)) (.f64 x (+.f64 y y))))
(.f64 1/2 (+.f64 (+.f64 x x) (-.f64 (+.f64 y y) (.f64 x (+.f64 y y)))))
(.f64 1/2 (+.f64 y (+.f64 (+.f64 x x) (-.f64 y (.f64 x (+.f64 y y))))))
(.f64 1/2 (+.f64 y (-.f64 (+.f64 x (+.f64 y x)) (.f64 x (+.f64 y y)))))
(.f64 1/2 (+.f64 y (-.f64 (+.f64 x (+.f64 y x)) (.f64 y (+.f64 x x)))))
(.f64 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/2) 2)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 -2 (/.f64 (+.f64 x (-.f64 y (.f64 x y))) -2))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 1/4 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 4))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 1/4 (-.f64 (.f64 (+.f64 x y) 4) (.f64 x (.f64 y 4))))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(.f64 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1/4) 4)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(/.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(/.f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 2) 2)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(/.f64 (-.f64 (*.f64 x y) (+.f64 x y)) -1)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(/.f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 4) 4)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(/.f64 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 8) 8)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(/.f64 (.f64 2 (-.f64 (.f64 x y) (+.f64 x y))) -2)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(/.f64 (.f64 2 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 8)) 16)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(/.f64 (.f64 (-.f64 (.f64 x y) (+.f64 x y)) 4) -4)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 x y) (+.f64 x y)) 4)) -8)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (-.f64 y (.f64 x y))) 8))) 32)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x y) (+.f64 x y)) 4)) 4)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (-.f64 y (*.f64 x y))) 8)))) 64)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (*.f64 x y) (+.f64 x y)) 4))) 8)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(pow.f64 (+.f64 x (-.f64 y (*.f64 x y))) 1)
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))
(neg.f64 (-.f64 (*.f64 x y) (+.f64 x y)))
(+.f64 x (-.f64 y (*.f64 y x)))
(-.f64 (+.f64 y x) (*.f64 y x))

eval15.0ms (0.3%)

Compiler: Compiled 964 to 476 computations (50.6% saved)

prune11.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Error

Counts

86 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
▶	28.1b	(*.f64 (-.f64 1 y) x)
▶	27.2b	(*.f64 y (-.f64 1 x))
	34.4b	y
	36.1b	x

Compiler

Compiled 29 to 19 computations (34.5% saved)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize151.0ms (2.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 y) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 (-.f64 1 y) x)
0.0ms	x	@	-inf	(*.f64 (-.f64 1 y) x)
0.0ms	x	@	0	(*.f64 (-.f64 1 y) x)
0.0ms	y	@	0	(*.f64 (-.f64 1 y) x)
0.0ms	y	@	inf	(*.f64 (-.f64 1 y) x)

rewrite186.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`rational.json-simplify-35`
1384×	`exponential.json-3`
1384×	`rational.json-1`
1384×	`rational.json-2`
1384×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	55	13
2	128	13
3	238	13
4	428	13
5	912	13
6	2338	13
7	4229	13
8	5306	13
9	6566	13
10	7666	13
11	7848	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 (-.f64 1 y) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (.f64 (+.f64 x x) (.f64 (+.f64 y -1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 y) (.f64 x 1/2)) (.f64 (-.f64 1 y) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 1 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (+.f64 x x) (.f64 (+.f64 y -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 y) (.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 y) (.f64 x 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 1 y) (.f64 x 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 y) (.f64 x 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 y -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x x) (.f64 (+.f64 y -1) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 y) (.f64 x 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 y) (.f64 x 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 y) (.f64 x 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (+.f64 x x) (*.f64 (+.f64 y -1) 1/2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (+.f64 x x) (*.f64 (+.f64 y -1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 y) (*.f64 x 1/2)) (*.f64 (-.f64 1 y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 x x) (*.f64 (+.f64 y -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 y) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 y) (*.f64 x 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 y) (*.f64 x 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 y) (*.f64 x 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 y -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 y -1) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 y) (*.f64 x 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 y) (*.f64 x 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 y) (*.f64 x 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 y -1) 1/2)))))))

simplify453.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

2988×	`rational.json-simplify-35`
1920×	`rational.json-simplify-2`
1694×	`rational.json-simplify-53`
988×	`rational.json-simplify-1`
912×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	484
1	166	462
2	329	462
3	718	462
4	2353	462
5	4060	462
6	4685	462
7	4924	462
8	5113	462
9	5320	462
10	6042	462
11	7111	462
12	7197	462
13	7265	462
14	7286	462
15	7468	462
16	7639	462
17	7806	462
18	7971	462

Stop Event

1×	node limit

Counts

34 → 33

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 (*.f64 (-.f64 1 y) x) 0)
(+.f64 0 (*.f64 (-.f64 1 y) x))
(+.f64 -1 (-.f64 1 (*.f64 x (+.f64 y -1))))
(+.f64 -1 (-.f64 1 (.f64 (+.f64 x x) (.f64 (+.f64 y -1) 1/2))))
(+.f64 (.f64 (-.f64 1 y) (.f64 x 1/2)) (.f64 (-.f64 1 y) (.f64 x 1/2)))
(-.f64 (*.f64 (-.f64 1 y) x) 0)
(-.f64 0 (*.f64 x (+.f64 y -1)))
(-.f64 0 (.f64 (+.f64 x x) (.f64 (+.f64 y -1) 1/2)))
(/.f64 (*.f64 (-.f64 1 y) x) 1)
(/.f64 (*.f64 (-.f64 1 y) (+.f64 x x)) 2)
(/.f64 (.f64 (-.f64 1 y) (.f64 x 4)) 4)
(/.f64 (.f64 (-.f64 1 y) (.f64 x 8)) 8)
(/.f64 (.f64 2 (.f64 (-.f64 1 y) (*.f64 x 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 y) (.f64 x 8)))) 32)
(/.f64 (*.f64 x (+.f64 y -1)) -1)
(/.f64 (.f64 (+.f64 x x) (.f64 (+.f64 y -1) 1/2)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 y) (*.f64 x 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 y) (.f64 x 8)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 y) (*.f64 x 8))))))) 256)
(pow.f64 (*.f64 (-.f64 1 y) x) 1)
(neg.f64 (*.f64 x (+.f64 y -1)))
(neg.f64 (.f64 (+.f64 x x) (.f64 (+.f64 y -1) 1/2)))

Outputs
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 (-.f64 1 y) x) 0)
(*.f64 x (-.f64 1 y))
(+.f64 0 (*.f64 (-.f64 1 y) x))
(*.f64 x (-.f64 1 y))
(+.f64 -1 (-.f64 1 (*.f64 x (+.f64 y -1))))
(*.f64 x (-.f64 1 y))
(+.f64 -1 (-.f64 1 (.f64 (+.f64 x x) (.f64 (+.f64 y -1) 1/2))))
(*.f64 x (-.f64 1 y))
(+.f64 (.f64 (-.f64 1 y) (.f64 x 1/2)) (.f64 (-.f64 1 y) (.f64 x 1/2)))
(*.f64 x (-.f64 1 y))
(-.f64 (*.f64 (-.f64 1 y) x) 0)
(*.f64 x (-.f64 1 y))
(-.f64 0 (*.f64 x (+.f64 y -1)))
(*.f64 x (-.f64 1 y))
(-.f64 0 (.f64 (+.f64 x x) (.f64 (+.f64 y -1) 1/2)))
(*.f64 x (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) 1)
(*.f64 x (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) (+.f64 x x)) 2)
(*.f64 x (-.f64 1 y))
(/.f64 (.f64 (-.f64 1 y) (.f64 x 4)) 4)
(*.f64 x (-.f64 1 y))
(/.f64 (.f64 (-.f64 1 y) (.f64 x 8)) 8)
(*.f64 x (-.f64 1 y))
(/.f64 (.f64 2 (.f64 (-.f64 1 y) (*.f64 x 8))) 16)
(*.f64 x (-.f64 1 y))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 y) (.f64 x 8)))) 32)
(*.f64 x (-.f64 1 y))
(/.f64 (*.f64 x (+.f64 y -1)) -1)
(*.f64 x (-.f64 1 y))
(/.f64 (.f64 (+.f64 x x) (.f64 (+.f64 y -1) 1/2)) -1)
(*.f64 x (-.f64 1 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 y) (*.f64 x 8))))) 64)
(*.f64 x (-.f64 1 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 y) (.f64 x 8)))))) 128)
(*.f64 x (-.f64 1 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 y) (*.f64 x 8))))))) 256)
(*.f64 x (-.f64 1 y))
(pow.f64 (*.f64 (-.f64 1 y) x) 1)
(*.f64 x (-.f64 1 y))
(neg.f64 (*.f64 x (+.f64 y -1)))
(*.f64 x (-.f64 1 y))
(neg.f64 (.f64 (+.f64 x x) (.f64 (+.f64 y -1) 1/2)))
(*.f64 x (-.f64 1 y))

eval7.0ms (0.1%)

Compiler: Compiled 285 to 197 computations (30.9% saved)

prune6.0ms (0.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	31	7	38

Error

Counts

38 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
▶	28.1b	(+.f64 x (*.f64 y (neg.f64 x)))
✓	28.1b	(*.f64 (-.f64 1 y) x)
✓	27.2b	(*.f64 y (-.f64 1 x))
▶	54.7b	(*.f64 y (neg.f64 x))
	34.4b	y
	36.1b	x

Compiler

Compiled 43 to 28 computations (34.9% saved)

localize4.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y (neg.f64 x)))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(+.f64 x (*.f64 y (neg.f64 x)))
0.0ms	x	@	0	(+.f64 x (*.f64 y (neg.f64 x)))
0.0ms	x	@	inf	(+.f64 x (*.f64 y (neg.f64 x)))
0.0ms	x	@	-inf	(+.f64 x (*.f64 y (neg.f64 x)))
0.0ms	y	@	inf	(+.f64 x (*.f64 y (neg.f64 x)))

rewrite751.0ms (12.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`exponential.json-3`
1458×	`rational.json-1`
1458×	`rational.json-2`
1458×	`rational.json-4`
1458×	`rational.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	56	17
2	131	17
3	287	17
4	592	17
5	1451	13
6	2964	13
7	4886	13
8	6330	13
9	7511	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (neg.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (-.f64 1 y) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) (-.f64 1 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (-.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 1/2 (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 1/2 (*.f64 (neg.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 1/2 (/.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 x (-.f64 1 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 4 (-.f64 1 y))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 1 y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x x) (*.f64 x (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 2 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (+.f64 2 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 y) (*.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 y) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x (*.f64 4 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 y -2)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 y -1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 (neg.f64 y) 1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 y -2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 x (*.f64 y -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (-.f64 1 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 4 (-.f64 1 y))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (-.f64 1 y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (-.f64 1 y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (-.f64 1 y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (-.f64 1 y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (-.f64 1 y)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 y)) 1)))))

simplify772.0ms (12.9%)

Algorithm

1×	egg-herbie

Rules

2296×	`rational.json-simplify-2`
1680×	`rational.json-simplify-35`
1182×	`rational.json-simplify-1`
824×	`rational.json-simplify-48`
706×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	1061
1	207	849
2	429	849
3	1417	849
4	2959	849
5	4109	849
6	4821	849
7	5232	849
8	5590	849
9	5934	849
10	6323	849
11	6802	849
12	7704	849

Stop Event

1×	node limit

Counts

61 → 46

Calls

Call 1

Inputs
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 -1 (.f64 (-.f64 y 1) x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(.f64 -1 (.f64 (-.f64 y 1) x))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(-.f64 (*.f64 x (-.f64 1 y)) 0)
(*.f64 x (-.f64 1 y))
(.f64 (.f64 x (-.f64 1 y)) 1)
(.f64 1 (.f64 x (-.f64 1 y)))
(.f64 2 (.f64 (-.f64 1 y) (*.f64 x 1/2)))
(.f64 2 (.f64 (*.f64 (-.f64 1 y) 1/2) x))
(.f64 (.f64 (+.f64 x x) (-.f64 1 y)) 1/2)
(.f64 (+.f64 x x) (.f64 (-.f64 1 y) 1/2))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 y -1/2)))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 (neg.f64 y) 1/2)))
(*.f64 (+.f64 x x) (+.f64 1/2 (/.f64 y -2)))
(.f64 4 (/.f64 (.f64 x (-.f64 1 y)) 4))
(.f64 (.f64 x (*.f64 4 (-.f64 1 y))) 1/4)
(*.f64 (-.f64 1 y) x)
(.f64 (.f64 2 (-.f64 1 y)) (*.f64 x 1/2))
(.f64 1/2 (.f64 (+.f64 x x) (-.f64 1 y)))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 x (*.f64 y -2))))
(.f64 (.f64 x 1/2) (*.f64 2 (-.f64 1 y)))
(.f64 (.f64 x 1/2) (+.f64 2 (*.f64 y -2)))
(.f64 (.f64 (-.f64 1 y) (*.f64 x 1/2)) 2)
(.f64 (.f64 (-.f64 1 y) 1/2) (+.f64 x x))
(.f64 1/4 (.f64 x (*.f64 4 (-.f64 1 y))))
(.f64 (/.f64 (.f64 x (-.f64 1 y)) 4) 4)
(.f64 (+.f64 2 (.f64 y -2)) (*.f64 x 1/2))
(.f64 (+.f64 1/2 (.f64 y -1/2)) (+.f64 x x))
(.f64 (+.f64 1/2 (.f64 (neg.f64 y) 1/2)) (+.f64 x x))
(*.f64 (+.f64 1/2 (/.f64 y -2)) (+.f64 x x))
(.f64 (+.f64 (+.f64 x x) (.f64 x (*.f64 y -2))) 1/2)
(/.f64 (*.f64 x (-.f64 1 y)) 1)
(/.f64 (*.f64 (+.f64 x x) (-.f64 1 y)) 2)
(/.f64 (.f64 x (.f64 4 (-.f64 1 y))) 4)
(/.f64 (.f64 (.f64 x (-.f64 1 y)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 x (-.f64 1 y)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 1 y)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 x (-.f64 1 y)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 1 y)) 8))))) 128)
(pow.f64 (*.f64 x (-.f64 1 y)) 1)

Outputs
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(-.f64 (*.f64 x (-.f64 1 y)) 0)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(*.f64 x (-.f64 1 y))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 x (-.f64 1 y)) 1)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 1 (.f64 x (-.f64 1 y)))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 2 (.f64 (-.f64 1 y) (*.f64 x 1/2)))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 2 (.f64 (*.f64 (-.f64 1 y) 1/2) x))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (.f64 (+.f64 x x) (-.f64 1 y)) 1/2)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 x x) (.f64 (-.f64 1 y) 1/2))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 y -1/2)))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 (neg.f64 y) 1/2)))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 y -1/2)))
(*.f64 (+.f64 x x) (+.f64 1/2 (/.f64 y -2)))
(.f64 4 (/.f64 (.f64 x (-.f64 1 y)) 4))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (.f64 x (*.f64 4 (-.f64 1 y))) 1/4)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (.f64 2 (-.f64 1 y)) (*.f64 x 1/2))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 1/2 (.f64 (+.f64 x x) (-.f64 1 y)))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 x (*.f64 y -2))))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (.f64 x 1/2) (*.f64 2 (-.f64 1 y)))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (.f64 x 1/2) (+.f64 2 (*.f64 y -2)))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (.f64 (-.f64 1 y) (*.f64 x 1/2)) 2)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (.f64 (-.f64 1 y) 1/2) (+.f64 x x))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 1/4 (.f64 x (*.f64 4 (-.f64 1 y))))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (/.f64 (.f64 x (-.f64 1 y)) 4) 4)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 2 (.f64 y -2)) (*.f64 x 1/2))
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1/2 (.f64 y -1/2)) (+.f64 x x))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 y -1/2)))
(.f64 (+.f64 1/2 (.f64 (neg.f64 y) 1/2)) (+.f64 x x))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 y -1/2)))
(*.f64 (+.f64 1/2 (/.f64 y -2)) (+.f64 x x))
(*.f64 (+.f64 x x) (+.f64 1/2 (/.f64 y -2)))
(.f64 (+.f64 (+.f64 x x) (.f64 x (*.f64 y -2))) 1/2)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(/.f64 (*.f64 x (-.f64 1 y)) 1)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(/.f64 (*.f64 (+.f64 x x) (-.f64 1 y)) 2)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(/.f64 (.f64 x (.f64 4 (-.f64 1 y))) 4)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(/.f64 (.f64 (.f64 x (-.f64 1 y)) 8) 8)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(/.f64 (.f64 2 (.f64 (*.f64 x (-.f64 1 y)) 8)) 16)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 1 y)) 8))) 32)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 x (-.f64 1 y)) 8)))) 64)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 1 y)) 8))))) 128)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(pow.f64 (*.f64 x (-.f64 1 y)) 1)
(*.f64 (+.f64 1 (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))

eval8.0ms (0.1%)

Compiler: Compiled 392 to 266 computations (32.1% saved)

prune9.0ms (0.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	2	2
Picked	1	0	1
Done	0	4	4
Total	46	7	53

Error

Counts

53 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
▶	28.1b	(-.f64 x (*.f64 y x))
✓	28.1b	(*.f64 (-.f64 1 y) x)
✓	27.2b	(*.f64 y (-.f64 1 x))
✓	54.7b	(*.f64 y (neg.f64 x))
	34.4b	y
	36.1b	x

Compiler

Compiled 42 to 27 computations (35.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 y x))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 x (*.f64 y x))
0.0ms	y	@	-inf	(-.f64 x (*.f64 y x))
0.0ms	y	@	inf	(-.f64 x (*.f64 y x))
0.0ms	y	@	0	(-.f64 x (*.f64 y x))
0.0ms	x	@	-inf	(-.f64 x (*.f64 y x))

rewrite106.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1536×	`rational.json-1`
1536×	`rational.json-2`
1536×	`rational.json-3`
1534×	`exponential.json-3`
1534×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	39	13
2	93	13
3	207	13
4	399	13
5	924	13
6	2585	13
7	5115	13
8	6896	13

Stop Event

1×	node limit

Counts

1 → 83

Calls

Call 1

Inputs
(-.f64 x (*.f64 y x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x (-.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 (*.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (+.f64 y -1) -2)) (*.f64 x (/.f64 (+.f64 y -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 x y)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 2 (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (-.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (*.f64 x (+.f64 y -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 2 (-.f64 1 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 2 (*.f64 (-.f64 1 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 (+.f64 y -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 2 (-.f64 1 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (-.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (neg.f64 (*.f64 (+.f64 y -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (+.f64 y -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (-.f64 1/2 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 y -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 x (-.f64 1/4 (*.f64 y 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (+.f64 y -1)) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (-.f64 1 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (-.f64 1/4 (*.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 x 8) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (*.f64 1/2 (*.f64 x 1/4)) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 x y)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) (*.f64 1/8 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x (+.f64 y -1))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 1 y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (*.f64 2 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (+.f64 y -1) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 2 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (-.f64 2 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 8)) (*.f64 1/16 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 x (+.f64 (*.f64 y 1/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 y -1)) (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 y -1)) (*.f64 -1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 2 (-.f64 1 y))) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 y) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y -1) 1/2) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (*.f64 y 1/2) -1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 x (+.f64 y -1)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) (*.f64 2 (*.f64 2 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) (-.f64 4 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1/4 (*.f64 y 1/4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 x (*.f64 x y)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (-.f64 (*.f64 x 8) (*.f64 y (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 2 (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (-.f64 1 y)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 y) 1/4) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (+.f64 y -1) 1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x x)) (*.f64 (+.f64 y -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -2) (*.f64 2 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y -1) -2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (*.f64 y 1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (+.f64 y y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 1 y) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 y -1) 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 2 (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 y -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 y -1)) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 x y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x (+.f64 y -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 x y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 y 4) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x (-.f64 (*.f64 y 4) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 x y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x (-.f64 (*.f64 y 4) 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 x y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 x y)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 x y)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 y -1)))))))

simplify407.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

2456×	`rational.json-simplify-2`
1788×	`rational.json-simplify-1`
1278×	`rational.json-simplify-35`
1002×	`rational.json-simplify-41`
922×	`rational.json-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	182	1555
1	387	1549
2	789	1549
3	1596	1549
4	3134	1549
5	4839	1549
6	5349	1549
7	5589	1549
8	5888	1549
9	6446	1549
10	7906	1549

Stop Event

1×	node limit

Counts

107 → 105

Calls

Call 1

Inputs
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 (-.f64 x (*.f64 x y)) 0)
(+.f64 0 (-.f64 x (*.f64 x y)))
(+.f64 1 (-.f64 -1 (*.f64 x (+.f64 y -1))))
(+.f64 (*.f64 y (neg.f64 x)) x)
(+.f64 -1 (+.f64 x (-.f64 1 (*.f64 x y))))
(+.f64 (+.f64 x (-.f64 1 (*.f64 x y))) -1)
(+.f64 (.f64 x (/.f64 (+.f64 y -1) -2)) (.f64 x (/.f64 (+.f64 y -1) -2)))
(+.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)))
(+.f64 (-.f64 1 (*.f64 x y)) (+.f64 x -1))
(+.f64 -2 (-.f64 2 (*.f64 x (+.f64 y -1))))
(+.f64 (+.f64 x 1) (-.f64 -1 (*.f64 x y)))
(+.f64 (-.f64 2 (*.f64 x (+.f64 y -1))) -2)
(*.f64 x (-.f64 1 y))
(.f64 x (.f64 (*.f64 2 (-.f64 1 y)) 1/2))
(.f64 x (.f64 2 (*.f64 (-.f64 1 y) 1/2)))
(.f64 (-.f64 x (.f64 x y)) 1)
(.f64 1 (-.f64 x (.f64 x y)))
(.f64 2 (.f64 x (/.f64 (+.f64 y -1) -2)))
(.f64 (.f64 x (*.f64 2 (-.f64 1 y))) 1/2)
(.f64 (+.f64 x x) (.f64 (-.f64 1 y) 1/2))
(.f64 (+.f64 x x) (neg.f64 (.f64 (+.f64 y -1) 1/2)))
(*.f64 (+.f64 x x) (/.f64 (+.f64 y -1) -2))
(.f64 (+.f64 x x) (-.f64 1/2 (.f64 y 1/2)))
(.f64 (.f64 x (+.f64 y -1)) -1)
(.f64 4 (.f64 x (-.f64 1/4 (*.f64 y 1/4))))
(.f64 (.f64 (*.f64 x (+.f64 y -1)) -4) 1/4)
(.f64 (.f64 x 4) (*.f64 (-.f64 1 y) 1/4))
(.f64 (.f64 x 4) (-.f64 1/4 (*.f64 y 1/4)))
(*.f64 (neg.f64 x) (+.f64 y -1))
(*.f64 (-.f64 1 y) x)
(*.f64 (+.f64 y -1) (neg.f64 x))
(.f64 -1 (.f64 x (+.f64 y -1)))
(.f64 8 (.f64 (/.f64 x 8) (-.f64 1 y)))
(.f64 8 (.f64 (.f64 1/2 (.f64 x 1/4)) (-.f64 1 y)))
(.f64 (.f64 (-.f64 x (*.f64 x y)) 8) 1/8)
(.f64 (.f64 x 8) (*.f64 1/8 (-.f64 1 y)))
(.f64 (.f64 2 (*.f64 x (+.f64 y -1))) -1/2)
(.f64 (.f64 2 (-.f64 1 y)) (*.f64 x 1/2))
(.f64 1/2 (.f64 x (*.f64 2 (-.f64 1 y))))
(.f64 (.f64 x (/.f64 (+.f64 y -1) -2)) 2)
(.f64 (.f64 x 1/2) (*.f64 2 (-.f64 1 y)))
(.f64 (.f64 x 1/2) (-.f64 2 (+.f64 y y)))
(.f64 (.f64 2 (.f64 x 8)) (.f64 1/16 (-.f64 1 y)))
(.f64 -2 (.f64 x (+.f64 (*.f64 y 1/2) -1/2)))
(.f64 (.f64 2 (+.f64 y -1)) (/.f64 x -2))
(.f64 (.f64 2 (+.f64 y -1)) (.f64 -1 (.f64 x 1/2)))
(.f64 (.f64 2 (.f64 2 (-.f64 1 y))) (.f64 x 1/4))
(.f64 (.f64 (-.f64 1 y) 1/2) (+.f64 x x))
(.f64 (.f64 (+.f64 y -1) 1/2) (neg.f64 (+.f64 x x)))
(.f64 (.f64 x (+.f64 (*.f64 y 1/2) -1/2)) -2)
(.f64 1/4 (.f64 (*.f64 x (+.f64 y -1)) -4))
(.f64 (.f64 x 1/4) (.f64 2 (.f64 2 (-.f64 1 y))))
(.f64 (.f64 x 1/4) (-.f64 4 (*.f64 y 4)))
(.f64 (.f64 x (-.f64 1/4 (*.f64 y 1/4))) 4)
(.f64 1/8 (.f64 (-.f64 x (*.f64 x y)) 8))
(.f64 1/8 (-.f64 (.f64 x 8) (.f64 y (.f64 x 8))))
(.f64 -1/2 (.f64 2 (*.f64 x (+.f64 y -1))))
(.f64 (.f64 (*.f64 2 (-.f64 1 y)) 1/2) x)
(.f64 (.f64 (-.f64 1 y) 1/4) (*.f64 x 4))
(.f64 (neg.f64 (.f64 (+.f64 y -1) 1/2)) (+.f64 x x))
(.f64 (neg.f64 (+.f64 x x)) (.f64 (+.f64 y -1) 1/2))
(.f64 (/.f64 x -2) (.f64 2 (+.f64 y -1)))
(*.f64 (/.f64 (+.f64 y -1) -2) (+.f64 x x))
(.f64 (-.f64 1/2 (.f64 y 1/2)) (+.f64 x x))
(.f64 (-.f64 2 (+.f64 y y)) (.f64 x 1/2))
(.f64 (.f64 2 (*.f64 (-.f64 1 y) 1/2)) x)
(.f64 (.f64 2 (*.f64 (+.f64 y -1) 1/2)) (neg.f64 x))
(/.f64 (-.f64 x (*.f64 x y)) 1)
(/.f64 (.f64 x (.f64 2 (-.f64 1 y))) 2)
(/.f64 (*.f64 x (+.f64 y -1)) -1)
(/.f64 (.f64 (.f64 x (+.f64 y -1)) -4) 4)
(/.f64 (.f64 (-.f64 x (.f64 x y)) 8) 8)
(/.f64 (.f64 2 (.f64 x (+.f64 y -1))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 x (*.f64 x y)) 8)) 16)
(/.f64 (.f64 x (-.f64 (.f64 y 4) 4)) -4)
(/.f64 (.f64 2 (.f64 x (-.f64 (*.f64 y 4) 4))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 x y)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 x (-.f64 (.f64 y 4) 4)))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (*.f64 x y)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 x y)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 x y)) 8))))) 128)
(pow.f64 (-.f64 x (*.f64 x y)) 1)
(neg.f64 (*.f64 x (+.f64 y -1)))

Outputs
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 y (neg.f64 x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (-.f64 x (*.f64 x y)) 0)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 0 (-.f64 x (*.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 1 (-.f64 -1 (*.f64 x (+.f64 y -1))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (*.f64 y (neg.f64 x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 -1 (+.f64 x (-.f64 1 (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (+.f64 x (-.f64 1 (*.f64 x y))) -1)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 x (/.f64 (+.f64 y -1) -2)) (.f64 x (/.f64 (+.f64 y -1) -2)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)))
(*.f64 x (+.f64 (-.f64 1/2 y) 1/2))
(*.f64 x (+.f64 1/2 (-.f64 1/2 y)))
(+.f64 (-.f64 1 (*.f64 x y)) (+.f64 x -1))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 -2 (-.f64 2 (*.f64 x (+.f64 y -1))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (+.f64 x 1) (-.f64 -1 (*.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (-.f64 2 (*.f64 x (+.f64 y -1))) -2)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 x (.f64 (*.f64 2 (-.f64 1 y)) 1/2))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 x (.f64 2 (*.f64 (-.f64 1 y) 1/2)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (-.f64 x (.f64 x y)) 1)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 1 (-.f64 x (.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 2 (.f64 x (/.f64 (+.f64 y -1) -2)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 x (*.f64 2 (-.f64 1 y))) 1/2)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 x x) (.f64 (-.f64 1 y) 1/2))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 x x) (neg.f64 (.f64 (+.f64 y -1) 1/2)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (+.f64 x x) (/.f64 (+.f64 y -1) -2))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 x x) (-.f64 1/2 (.f64 y 1/2)))
(.f64 (.f64 x (+.f64 y -1)) -1)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 4 (.f64 x (-.f64 1/4 (*.f64 y 1/4))))
(.f64 x (.f64 (-.f64 1/4 (*.f64 y 1/4)) 4))
(.f64 x (.f64 4 (-.f64 1/4 (*.f64 y 1/4))))
(.f64 (.f64 (*.f64 x (+.f64 y -1)) -4) 1/4)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 x 4) (*.f64 (-.f64 1 y) 1/4))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 x 4) (-.f64 1/4 (*.f64 y 1/4)))
(.f64 x (.f64 (-.f64 1/4 (*.f64 y 1/4)) 4))
(.f64 4 (.f64 x (-.f64 1/4 (*.f64 y 1/4))))
(.f64 x (.f64 4 (-.f64 1/4 (*.f64 y 1/4))))
(*.f64 (neg.f64 x) (+.f64 y -1))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (+.f64 y -1) (neg.f64 x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 x (+.f64 y -1)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 8 (.f64 (/.f64 x 8) (-.f64 1 y)))
(.f64 8 (.f64 (-.f64 1 y) (/.f64 x 8)))
(.f64 (-.f64 1 y) (.f64 8 (/.f64 x 8)))
(.f64 8 (.f64 (.f64 1/2 (.f64 x 1/4)) (-.f64 1 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 (-.f64 x (*.f64 x y)) 8) 1/8)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 x 8) (*.f64 1/8 (-.f64 1 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 2 (*.f64 x (+.f64 y -1))) -1/2)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 2 (-.f64 1 y)) (*.f64 x 1/2))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 1/2 (.f64 x (*.f64 2 (-.f64 1 y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 x (/.f64 (+.f64 y -1) -2)) 2)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 x 1/2) (*.f64 2 (-.f64 1 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 x 1/2) (-.f64 2 (+.f64 y y)))
(.f64 x (.f64 1/2 (-.f64 2 (+.f64 y y))))
(.f64 1/2 (.f64 (-.f64 2 (+.f64 y y)) x))
(.f64 (.f64 2 (.f64 x 8)) (.f64 1/16 (-.f64 1 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -2 (.f64 x (+.f64 (*.f64 y 1/2) -1/2)))
(.f64 x (.f64 (+.f64 (*.f64 y 1/2) -1/2) -2))
(.f64 x (.f64 -2 (+.f64 (*.f64 y 1/2) -1/2)))
(.f64 (+.f64 (.f64 y 1/2) -1/2) (*.f64 x -2))
(.f64 (.f64 2 (+.f64 y -1)) (/.f64 x -2))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 2 (+.f64 y -1)) (.f64 -1 (.f64 x 1/2)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 2 (.f64 2 (-.f64 1 y))) (.f64 x 1/4))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 (-.f64 1 y) 1/2) (+.f64 x x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 (+.f64 y -1) 1/2) (neg.f64 (+.f64 x x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 x (+.f64 (*.f64 y 1/2) -1/2)) -2)
(.f64 x (.f64 (+.f64 (*.f64 y 1/2) -1/2) -2))
(.f64 x (.f64 -2 (+.f64 (*.f64 y 1/2) -1/2)))
(.f64 (+.f64 (.f64 y 1/2) -1/2) (*.f64 x -2))
(.f64 1/4 (.f64 (*.f64 x (+.f64 y -1)) -4))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 x 1/4) (.f64 2 (.f64 2 (-.f64 1 y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 x 1/4) (-.f64 4 (*.f64 y 4)))
(.f64 x (.f64 1/4 (-.f64 4 (*.f64 y 4))))
(.f64 (.f64 x (-.f64 1/4 (*.f64 y 1/4))) 4)
(.f64 x (.f64 (-.f64 1/4 (*.f64 y 1/4)) 4))
(.f64 4 (.f64 x (-.f64 1/4 (*.f64 y 1/4))))
(.f64 x (.f64 4 (-.f64 1/4 (*.f64 y 1/4))))
(.f64 1/8 (.f64 (-.f64 x (*.f64 x y)) 8))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 1/8 (-.f64 (.f64 x 8) (.f64 y (.f64 x 8))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1/2 (.f64 2 (*.f64 x (+.f64 y -1))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 (*.f64 2 (-.f64 1 y)) 1/2) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 (-.f64 1 y) 1/4) (*.f64 x 4))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (neg.f64 (.f64 (+.f64 y -1) 1/2)) (+.f64 x x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (neg.f64 (+.f64 x x)) (.f64 (+.f64 y -1) 1/2))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (/.f64 x -2) (.f64 2 (+.f64 y -1)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (/.f64 (+.f64 y -1) -2) (+.f64 x x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (-.f64 1/2 (.f64 y 1/2)) (+.f64 x x))
(.f64 (+.f64 x x) (-.f64 1/2 (.f64 y 1/2)))
(.f64 (-.f64 2 (+.f64 y y)) (.f64 x 1/2))
(.f64 x (.f64 1/2 (-.f64 2 (+.f64 y y))))
(.f64 1/2 (.f64 (-.f64 2 (+.f64 y y)) x))
(.f64 (.f64 x 1/2) (-.f64 2 (+.f64 y y)))
(.f64 (.f64 2 (*.f64 (-.f64 1 y) 1/2)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (.f64 2 (*.f64 (+.f64 y -1) 1/2)) (neg.f64 x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (-.f64 x (*.f64 x y)) 1)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (.f64 x (.f64 2 (-.f64 1 y))) 2)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (*.f64 x (+.f64 y -1)) -1)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (.f64 (.f64 x (+.f64 y -1)) -4) 4)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (.f64 (-.f64 x (.f64 x y)) 8) 8)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (.f64 2 (.f64 x (+.f64 y -1))) -2)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (.f64 2 (.f64 (-.f64 x (*.f64 x y)) 8)) 16)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (.f64 x (-.f64 (.f64 y 4) 4)) -4)
(.f64 (-.f64 (.f64 y 4) 4) (/.f64 x -4))
(.f64 x (/.f64 (-.f64 (.f64 y 4) 4) -4))
(.f64 x (.f64 (-.f64 (*.f64 y 4) 4) -1/4))
(/.f64 (.f64 2 (.f64 x (-.f64 (*.f64 y 4) 4))) -8)
(.f64 (-.f64 (.f64 y 4) 4) (/.f64 x -4))
(.f64 x (/.f64 (-.f64 (.f64 y 4) 4) -4))
(.f64 x (.f64 (-.f64 (*.f64 y 4) 4) -1/4))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 x y)) 8))) 32)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 x (-.f64 (.f64 y 4) 4)))) -16)
(.f64 (-.f64 (.f64 y 4) 4) (/.f64 x -4))
(.f64 x (/.f64 (-.f64 (.f64 y 4) 4) -4))
(.f64 x (.f64 (-.f64 (*.f64 y 4) 4) -1/4))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (*.f64 x y)) 8)))) 64)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 x y)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 x y)) 8))))) 128)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(pow.f64 (-.f64 x (*.f64 x y)) 1)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(neg.f64 (*.f64 x (+.f64 y -1)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))

eval21.0ms (0.3%)

Compiler: Compiled 936 to 631 computations (32.6% saved)

prune16.0ms (0.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	105	7	112

Error

Counts

112 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
✓	28.1b	(-.f64 x (*.f64 y x))
✓	28.1b	(*.f64 (-.f64 1 y) x)
✓	27.2b	(*.f64 y (-.f64 1 x))
✓	54.7b	(*.f64 y (neg.f64 x))
	34.4b	y
	36.1b	x

Compiler

Compiled 42 to 27 computations (35.7% saved)

regimes19.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
x
y
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 y (neg.f64 x)))
(-.f64 (+.f64 x y) (*.f64 x y))

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))

Calls

3 calls:

7.0ms	x
5.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
5.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 51 to 25 computations (51% saved)

regimes30.0ms (0.5%)

Counts

7 → 4

Calls

Call 1

Inputs
x
y
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 y (neg.f64 x)))

Outputs
(-.f64 x (*.f64 y x))
y
x
(*.f64 y (-.f64 1 x))

Calls

2 calls:

20.0ms	y
9.0ms	x

Results

Error	Segments	Branch
6.5b	2	`x`
4.8b	4	`y`

Compiler

Compiled 35 to 17 computations (51.4% saved)

bsearch484.0ms (8.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
348.0ms	8.377081690650817e-25	9.418668486569298e-24
8.0ms	3.51107463206479e-48	3.5235281047582946e-47
127.0ms	3.1541056067419577e-134	1.2523146492875752e-129

Results

480.0ms

320×

body

256

valid

Compiler

Compiled 230 to 163 computations (29.1% saved)

regimes29.0ms (0.5%)

Counts

5 → 4

Calls

Call 1

Inputs
x
y
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 y) x)

Outputs
(*.f64 (-.f64 1 y) x)
y
x
(*.f64 y (-.f64 1 x))

Calls

2 calls:

16.0ms	y
12.0ms	x

Results

Error	Segments	Branch
6.5b	2	`x`
4.8b	4	`y`

Compiler

Compiled 24 to 14 computations (41.7% saved)

bsearch30.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
9.0ms	8.377081690650817e-25	9.418668486569298e-24
10.0ms	3.51107463206479e-48	3.5235281047582946e-47
12.0ms	3.1541056067419577e-134	1.2523146492875752e-129

Results

27.0ms

320×

body

256

valid

Compiler

Compiled 230 to 171 computations (25.7% saved)

regimes100.0ms (1.7%)

Counts

4 → 5

Calls

Call 1

Inputs
x
y
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))

Outputs
(*.f64 y (neg.f64 x))
x
y
x
(*.f64 y (-.f64 1 x))

Calls

2 calls:

92.0ms	y
7.0ms	x

Results

Error	Segments	Branch
12.9b	2	`x`
5.3b	5	`y`

Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch649.0ms (10.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
11.0ms	8.377081690650817e-25	9.418668486569298e-24
9.0ms	3.51107463206479e-48	3.5235281047582946e-47
11.0ms	3.1541056067419577e-134	1.2523146492875752e-129
618.0ms	-1.4748061148098157	-0.2763119447057675

Results

644.0ms

416×

body

256

valid

Compiler

Compiled 264 to 195 computations (26.1% saved)

regimes26.0ms (0.4%)

Counts

3 → 5

Calls

Call 1

Inputs
x
y
(*.f64 y (neg.f64 x))

Outputs
(*.f64 y (neg.f64 x))
x
y
x
y

Calls

2 calls:

15.0ms	y
10.0ms	x

Results

Error	Segments	Branch
12.9b	3	`x`
10.6b	5	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch158.0ms (2.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
128.0ms	8.377081690650817e-25	9.418668486569298e-24
8.0ms	3.51107463206479e-48	3.5235281047582946e-47
12.0ms	3.1541056067419577e-134	1.2523146492875752e-129
9.0ms	-1.4748061148098157	-0.2763119447057675

Results

154.0ms

416×

body

256

valid

Compiler

Compiled 240 to 177 computations (26.3% saved)

regimes18.0ms (0.3%)

Accuracy

Total -49.7b remaining (-403.1%)

Threshold costs -49.7b (-403.1%)

Counts

2 → 4

Calls

Call 1

Inputs
x
y

Outputs
x
y
x
y

Calls

2 calls:

12.0ms	y
6.0ms	x

Results

Error	Segments	Branch
14.3b	2	`x`
12.3b	4	`y`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch260.0ms (4.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
240.0ms	8.377081690650817e-25	9.418668486569298e-24
8.0ms	3.51107463206479e-48	3.5235281047582946e-47
11.0ms	3.1541056067419577e-134	1.2523146492875752e-129

Results

257.0ms

320×

body

256

valid

Compiler

Compiled 174 to 129 computations (25.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	275

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y 7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (-.f64 x (.f64 y x)) (if (<=.f64 y 8392073242338151/822752278660603021077484591278675252491367932816789931674304512) y (if (<=.f64 y 2381976568446569/680564733841876926926749214863536422912) x (.f64 y (-.f64 1 x)))))
(if (<=.f64 y 7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (.f64 (-.f64 1 y) x) (if (<=.f64 y 8885724609534513/822752278660603021077484591278675252491367932816789931674304512) y (if (<=.f64 y 4627840190124763/1361129467683753853853498429727072845824) x (.f64 y (-.f64 1 x)))))
(if (<=.f64 y -1) (.f64 y (neg.f64 x)) (if (<=.f64 y 7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) x (if (<=.f64 y 2961908203178171/822752278660603021077484591278675252491367932816789931674304512) y (if (<=.f64 y 8711228593176025/1361129467683753853853498429727072845824) x (.f64 y (-.f64 1 x))))))
(if (<=.f64 y -1) (*.f64 y (neg.f64 x)) (if (<=.f64 y 7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) x (if (<=.f64 y 1892330240919387/411376139330301510538742295639337626245683966408394965837152256) y (if (<=.f64 y 2381976568446569/680564733841876926926749214863536422912) x y))))
(if (<=.f64 y 2809573695284393/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) x (if (<=.f64 y 822752278660603/102844034832575377634685573909834406561420991602098741459288064) y (if (<=.f64 y 3811162509514511/1361129467683753853853498429727072845824) x y)))
x

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y 7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (-.f64 x (.f64 y x)) (if (<=.f64 y 8392073242338151/822752278660603021077484591278675252491367932816789931674304512) y (if (<=.f64 y 2381976568446569/680564733841876926926749214863536422912) x (.f64 y (-.f64 1 x)))))
(if (<=.f64 y 7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (.f64 (-.f64 1 y) x) (if (<=.f64 y 8885724609534513/822752278660603021077484591278675252491367932816789931674304512) y (if (<=.f64 y 4627840190124763/1361129467683753853853498429727072845824) x (.f64 y (-.f64 1 x)))))
(if (<=.f64 y -1) (.f64 y (neg.f64 x)) (if (<=.f64 y 7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) x (if (<=.f64 y 2961908203178171/822752278660603021077484591278675252491367932816789931674304512) y (if (<=.f64 y 8711228593176025/1361129467683753853853498429727072845824) x (.f64 y (-.f64 1 x))))))
(if (<=.f64 y -1) (*.f64 y (neg.f64 x)) (if (<=.f64 y 7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) x (if (<=.f64 y 1892330240919387/411376139330301510538742295639337626245683966408394965837152256) y (if (<=.f64 y 2381976568446569/680564733841876926926749214863536422912) x y))))
(if (<=.f64 y 2809573695284393/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) x (if (<=.f64 y 822752278660603/102844034832575377634685573909834406561420991602098741459288064) y (if (<=.f64 y 3811162509514511/1361129467683753853853498429727072845824) x y)))
x

Compiler

Compiled 138 to 86 computations (37.7% saved)

soundness0.0ms (0%)

end61.0ms (1%)

Remove: (sort x y)
Compiler: Compiled 144 to 82 computations (43.1% saved)

Details

analyze54.0ms (0.9%)

sample687.0ms (11.5%)

preprocess4.0ms (0.1%)

simplify8.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite100.0ms (1.7%)

simplify312.0ms (5.2%)

eval15.0ms (0.3%)

prune11.0ms (0.2%)

localize5.0ms (0.1%)

localize151.0ms (2.5%)

series1.0ms (0%)

rewrite186.0ms (3.1%)

simplify453.0ms (7.6%)

eval7.0ms (0.1%)

prune6.0ms (0.1%)

localize4.0ms (0.1%)

localize6.0ms (0.1%)

series5.0ms (0.1%)

rewrite751.0ms (12.5%)

simplify772.0ms (12.9%)

eval8.0ms (0.1%)

prune9.0ms (0.1%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite106.0ms (1.8%)

simplify407.0ms (6.8%)

eval21.0ms (0.3%)

prune16.0ms (0.3%)

regimes19.0ms (0.3%)

regimes30.0ms (0.5%)

bsearch484.0ms (8.1%)

regimes29.0ms (0.5%)

bsearch30.0ms (0.5%)

regimes100.0ms (1.7%)

bsearch649.0ms (10.8%)

regimes26.0ms (0.4%)

bsearch158.0ms (2.6%)

regimes18.0ms (0.3%)

bsearch260.0ms (4.3%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end61.0ms (1%)

Profiling